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The behavior of particles in quantum mechanics is often described by a concept called wave-particle duality. According to this concept, particles can exhibit both particle-like and wave-like properties, depending on the experimental setup and the phenomena being observed.

In certain experiments or observations, particles behave more like localized entities with definite positions and momenta. This behavior is often described as particle-like behavior. For example, when a particle is detected at a specific location on a detector screen or interacts with other particles in a way that suggests it occupies a well-defined position, it exhibits particle-like behavior. In such cases, the particle appears to have a definite trajectory and behaves similar to classical objects we encounter in everyday life.

On the other hand, particles can also exhibit wave-like behavior, characterized by phenomena such as interference and diffraction. When particles are sent through a double-slit experiment, for instance, they can create an interference pattern on a screen, much like the pattern observed when waves interact with each other. This behavior suggests that particles possess wave-like properties, such as wavelength, frequency, and the ability to interfere with themselves.

The wave-particle duality arises from the mathematical formalism of quantum mechanics, which describes particles using wave functions. The wave function represents the probability distribution of finding a particle in a particular state or location. The behavior of particles as waves or particles is described by the wave function and its evolution over time.

It's important to note that the wave-particle duality is not a matter of particles switching between two different states of being. Rather, it reflects the limitations of classical intuitions in describing the behavior of particles at the quantum level. In quantum mechanics, particles can exhibit characteristics of both waves and particles simultaneously, and their behavior is best understood within the framework of quantum theory. The specific behavior observed depends on the experimental setup and the phenomena being probed.

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